Least Common Multiple of 55/70, 34/41, 75/730

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 55/70, 34/41, 75/730 quickly i.e. 28050 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 55/70, 34/41, 75/730 is 28050.

LCM(55/70, 34/41, 75/730) = 28050

LCM of 55/70, 34/41, 75/730

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 55/70,34/41,75/730

Given numbers are 55/70,34/41,75/730

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 55,34,75

Least Common Multiple of Numerators i.e. LCM of 55,34,75 is 28050.

GCF of Denominators means GCF of 70,41,730 as per the given fractions.

GCF of 70,41,730 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 55,34,75

LCM of Fractions 55/70,34/41,75/730 is 28050

5 55, 34, 75
11, 34, 15

∴ So the LCM of the given numbers is 5 x 11 x 34 x 15 = 28050

Least Common Multiple of 55,34,75 with GCF Formula

Least Common Multiple of 55,34,75 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 55,34,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,34,75) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(55,34,75) x common factors =1 x 5 = 5

LCM(55,34,75) = ( 55 × 34 × 75 ) / 5

LCM(55,34,75) = 140250 / 5

LCM(55,34,75) = 28050


Lets's calculate GCF of 70,41,730

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28050/1

Therefore the LCM of Fractions 55/70,34/41,75/730 is 28050

Greatest Common Factor of 70,41,730 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,41,730 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 730

List of positive integer factors of 730 that divides 730 without a remainder.

1,2,5,10,73,146,365,730

Greatest Common Factor

We found the factors 70,41,730 . The biggest common factor number is the GCF number.
So the greatest common factor 70,41,730 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 55/70, 34/41, 75/730

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 55/70, 34/41, 75/730?

Answer: LCM of Numerators as per given numbers 55/70, 34/41, 75/730 is

LCM of Numerators i.e. for 55,34,75 is 28050

GCF of denominators i.e. for 70,41,730 is 1.

Thus, LCM of Fractions is 28050.Finally, LCM of Fractions for 55/70, 34/41, 75/730 is 28050.